Finding the Third Proportional to 77,605 and 123,089

Step by Step Solution

1. Step 1: Write the proportion equation
   77,605 : 123,089 = 123,089 : x
2. Step 2: Convert to fraction form
   77,605/123,089 = 123,089/x
3. Step 3: Cross multiply
   77,605x = 123,089 × 123,089
4. Step 4: Simplify right side
   77,605x = 15,150,901,921
5. Step 5: Solve for x
   x = 15,150,901,921/77,605
6. Step 6: Final answer
   x = 195,231.00